Student created screencasts for teachers to assess process of how their students are answering or solving their math problems.
Record a nararrated historical, personal or literature journey using Google Maps or Earth.
Students can use as a metacognitive tool. After completing, say a phase of a research project, the student can retrace her steps via a screencast to: Review the steps she's taken and possibly rethink the process AND to illustrate to the teacher how she avoided plagiarism.
Students could screencast the process of problem solving using calculator software. The screencast would record both their vocalized thinking/rationale and their keystrokes on the calculator... could make a great assessment piece.
Echo Scott & Steve's responses... we regularly use screencasting (Jing) to assess students' work in both OneNote (written work) and Maple. They are also asked to provide worked solutions for their peers (posted on wiki). We also use it for worked solutions to students for daily work, review questions for tests & exams and as links to assistance for our automated HW tool (MapleTA). And, we use it to show students how to install and use software (solve a system of equations on Maple, say) or web resources.
We teachers also use it to show each other how to use different tools, for example, Geogebra constructions, configuring wireless projectors or registering students for MapleTA, etc.
We do distinguish between "quick & dirty" (using Jing) and "professional" using something more sophisticated like BBFlashback, which allows for post-production.
Perhaps a metacognitve tool. Students create one to explain how, why, and submit as reflection.
We use screencasting for publishing student work on Internet and kids who don't like to stand in front of class to present.
Technical Support...instead of writing down steps to tell people how to do something, you create a 30 second demonstration screencast.
Chemistry teachers in CO use them instead of lecture. Allows them to spend class time with kids.
Using a tool like Voicethread and importing screen captures can allow multiple student voices to deconstruct a lesson or a demonstration.
Along the lines of technical support, I have provided several screencasts to my online students on simple topics related to logging in to the online text, completing assignments, navigating the Blackboard environment, etc. It has vastly cut down on the number of questions that I would normally receive on such topics. I also use it to record anything that I can't or won't embed into the course. I can record it, upload it to google video, and then repost it where I need it. This is very effective for some of the new "create your own animation" sites that house questionable material or may be blocked at the local level. By recording it and posting it to google video or teachertube, etc. I am able to usually get around these issues.
Have teachers create screencasts of items they want parents to understand. A teacher explaining their class website or walking them through how to read an NWEA MAP report prior to sending the reports home.
Social Studies teachers could ask students to do a screencast talking about the validity of websites and why the resource should or shouldn't be trusted.
I recently wrote a blog post about Jing, a free screencasting application. In the post I recommended Jing to teachers for creating quick demos of frequent tasks that students or parents might need to review from time to time. For instance, teacher might create a Jing that:

-->Shows how to access your class delicious bookmarks
-->Demonstrates how to log-in to your class wiki/blog
-->Explains how to fill out a Google Docs form you have created

Read the complete blog post about my impressions of Jing and what I was able to create using it. http://bit.ly/15jo6v
Just a brainstorm ... I have not done this with any students. I was thinking it would be interesting if students would do a screencast that gives an overview of their life online. This might be an extension of Internet Safety?
Posted from Divide and Captivate - http://www.adobe.com/education/resources/k12/articles/twilliams_captivate.html

Thank Williams described in this article how his foreign classes used screencasting. They created screencasts (digital story format style) in Spanish.
  • Use it for digital storytelling in any grade level/any curricular area.
*Demonstrations on how to edit papers (English),
*pre-record lecture topics in 3-5 minute segments for students to watch at home, then use class time for discussion/project-based learning
*I always use it for tech-support and also for reporting database errors to our LMS provider.
Ellin Keene has been speaking at our school about reading and comprehension. She talked a lot about how important it is for teacher's to model their thoughts as they read something. Check out some of their work here: http://www.readinglady.com/mosaic/tools/tools.htm

Screencasts could be utlized in many ways to represent these strategies for students. I believe these are described as "Think alouds".
I use it, in conjunction with OneNote, to post casts of math problems for students to view for extra help.
For parents- create screencasts in various languages to explain how to access student grades or how to access the school website and calendar. Send the link home in a newsletter. Then the kids of non-English speaking parents will not be the ones in control of when they want their parents to access their grades; the parents themselves will know how!
They could be used to demonstrate/remind younger students of computer procedures and how to use various software and online tools. This would give them a a level of independence and reduces interruption of the teacher while he/she is conducting other small group or individual instruction.
Teachers should create screencasts for all observable skills: math, computers, science related work, reading strategies, anything.

By creating screencasts, you give the student the chance to guide their work at a later time, anytime. Viewing tutorials is also a skill. The skill of viewing tutorials teaches students to seek their own answers- and that is an extremely powerful tool.